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Finding the Fourth Proportional to 494.14, 742.05 and 473.50

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Solution

The fourth proportional to 494.14, 742.05 and 473.50 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 742.05 = 473.50 : x
  2. Step 2: Convert to fraction form
    494.14/742.05 = 473.50/x
  3. Step 3: Cross multiply
    494.14x = 742.05 × 473.50
  4. Step 4: Simplify right side
    494.14x = 351,360.68
  5. Step 5: Solve for x
    x = 351,360.68/494.14
  6. Step 6: Final answer
    x = 711.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.